636 
PROFESSOR CAYLEY’S TENTH MEMOIR ON QUANTICS. 
Table No. 98 (continued). 
N divided and segregate is 
n + 1 
cj + 4 
ap — 6 
a 2 bj - 4 
a 3 o + 1 
cn — 6 
, , dg + 4 
a 2 bn - 1 
© 
+ 
00 
acp + 2 
„b 2 h- 12 
a°c 2 n + 1 
„bcg + 4 
„cm — 8 
a°c 2 y — 4 
6.4 
7.7 
8.10 
9.13 
10.16 
0 divided and segregate is 
O=a l0 ( 
o + 1 
b\j 
+ 
1 
bin 
+ 
6 
df 
— 
6 
gh 
— 
1 
7.1 
8.4 
\x, y)\ 
P divided and (as to first three coefficients) segregate is 
p + 1 
abj + 8 
o?o + 7 
a 2 bm + 8 
a 2 b 2 k - 3 
a% 2 j + 2 
„dg — 5 
abn — 2 
» dj + 3 
„bp — 3 
„ bdg — 2 
a%± -14 
aPcp — 14 
oJM + 9 
„ em + 2 
a 2 bcm + 2 
„ 5 2 /i + 15 
» bej A 13 
ab 2 de + 3 
„ beJc - 1 
„ beg— 5 
„ bdh — 9 
„bdl + 3 
„ep — 1 
,, cm +10 
„cdg —12 
„bfj + 8 
added +24 
„d 3 -81 
„dH -27 
„bc*j ~ 6 
a% 4 c — 5 
„deh — 3 
„bcdh — 33 
„b~ch- 8 
„dfg - 8 
„c 2 dg +15 
„ 5 2 e 2 - 1 
a°b 3 ce — 7 
„cd 3 -54 
„ bc 2 g — 1 
„ b 2 d + 1 
„dfJc - 9 
„bcd 2 - 9 
„ bcVc + 9 
aW + 8 
„bel - 1 
,, bedi — 9 
5 2 c 2 7i— 11 
,, bfh + 1 
„ bceli +10 
,, bc^q + 3 
„ c 2 m —12 
,, deg — 3 
„bc 2 d 2 - 18 
,, dei + 9 
„ c 2 p + 9 
„ befk— 1 
,, e 2 h + 1 
,, cd 2 e + 18 
,, c 3 m — 6 
„fP ~ 2 
„ cfm + 4 
„ efk + 3 
»cfp + 2 
7.5 
8.8 
9.11 
10.14 
11.17 
10.20 
the last three coefficients have not been reduced to the segregate form. 
Q as an invariant was divided and segregate, Q=a 1 ' 2 q 
8.0 
